840481920 has 320 divisors, whose sum is σ = 3104259840. Its totient is φ = 216483840.

The previous prime is 840481879. The next prime is 840481933. The reversal of 840481920 is 29184048.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606779 + ... + 1607301.

It is an arithmetic number, because the mean of its divisors is an integer number (9700812).

Almost surely, 2^840481920 is an apocalyptic number.

840481920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552129920).

840481920 is an abundant number, since it is smaller than the sum of its proper divisors (2263777920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

840481920 is a wasteful number, since it uses less digits than its factorization.

840481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 840481920 is about 28991.0662101276. The cubic root of 840481920 is about 943.7192021293.

The spelling of 840481920 in words is "eight hundred forty million, four hundred eighty-one thousand, nine hundred twenty".